I have very mixed thoughts and emotions on the new developments between Breitling and Tudor:
If I were to buy a non-chrono watch I'd be extremely happy with the Tudor-driven SOH2 42 mm in blue! This movement is a quantum leap forward! Free-sprung balance wheel, balance bridge, silicone hairspring are things I'd wanted for a long while to arrive at Breitling! The interesting and sad thing is that while the non-chrono Tudor equipped with this escapement arrives into the SOH with the same escapement, and the B01 sold to Tudor also has the Tudor-specific upgraded escapement - alright no balance bridge but with the direct micro-adjust on the balance wheel and silicone hairspring -, Breitling unfortunately does not seem to get the Tudor escapement for the B01 to be built into Breitling watches...
There is a rumour (I've heard it from a man I trust very much, though the rumour is not proven and nobody is to prove it) that the in-house Daytona movement was designed by a small independent design studio in Zurich - and the B01 was designed by the same design studio - which is not a bad thing... Maybe (but not only) on this basis do I believe that in general the qualities of the B01 are equal to the Rolex cal. 4130 - except for the refinement of the escapement. I was waiting Breitling to do some upgrades on this but unfortunately arrived to see only a "full-in" limited run in the SOHC Chronoworks - for a ridiculous and strongly prohibitive price. Now there would be a wonderful chance to buy/use the much more refined balance and hairpring for the Breitling-used B01-s too but I do not see it yet and can only hope for this.
(A side-thread: the "full-in" Chronoworks arrived in a ceramic case which I appreciate a lot. I have one ceramic watch, an IWC ref. 3705 and love it. I absolutely refuse to buy any watch from any manufacturer that is surface-treated, a. o. the black DLC Breitlings too. So a ceramic Breitling case is highly welcome. But to choose a case shape by Breitling to introduce the ceramic material that has highly beakable - long and thin end part - lugs as the SOH series has is a misfortune: the one-and-only downside of ceramic material is the elevated chance of breaking. So I could have imagined a fatter-lug shape (e. g. SuperOcean or Chronomat) case to arrive in ceramics.)
I am not too happy that Breitling sells the B01 to other manufacturers, it could have remained a Breitling-only movement! Even to a manufacturer that produces first class watches like Tudor, that will never (in my life) totally escape from the image of being the poor mans Rolex, despite the strong effort of Rolex SA of departing Tudor from this prejudice.
I am a theoretic fanatic of the Daytona but will never buy it, as (upon a chronograph) I badly need functions of a (day-and-)date feature and a turning 0/60 bezel in everyday life. But construction, case shape and case size seem to be around ideal. The Chronomat 41 - which I am a proud owner of - fortunately has all these features: first class chronograph movement, date window, count-up turning bezel, 300 m WR instead of the 100 m for the Daytona, wider dial portfolio (BEB for me ever!) and an equal steel bracelet. Where the Daytona still has clear advantages: escapement (as mentioned above: balance bridge, free-sprung balance wheel with direct micro-adjust, special material hairspring with higher antimagnetism) and bracelet clasp (latter could be upgraded by me by the double-pusher Breitling clasp originally made for the rubber strap so it is not an advantage question any more). I would be very happy to put my hands on the Tudor escapement for the B01 some day... and hope it can easily be replaced. So, the Chronomat 41 was the model ever closest Breitling to the Daytona - and the Chronomat 41 is has just been phased out... cannot guess why. Even if the 44 is a better seller and I already put my hands on one this killing the Chronomat 41 hurts a lot.
The only two things yet to come to the B01 - not counting the better, more up-to-date escapement - (possibly in a 40-41 mm Chronomat case again!!!) is a weekday or a simple full calendar feature and a fly-back... Could not be happier...
Sorry for the long spot. As soon as I've posted it I'll have newer ideas to put down, maybe I'll edit it a few times...

Best,
Robert