BT to EE broadband migration whilst still early in contract?

For those with consumer BT Broadband, within the 'My BT' account portal I'm aware there are various promotional suggestions that you "Upgrade to EE Broadband" along with links that will take you to the EE website and also to a customised 'upgrade' offer to switch from BT to EE for your broadband service.

Setting aside for a moment the slightly muddled branding messages, and the concept of 'upgrading' from one brand (BT) to another (EE) - even if the underlying service remains the same...

BT Broadband currently has numerous incentive offers available via comparison and cashback sites, whilst EE Broadband doesn't feature anywhere. (I guess in so doing the idea is to preserve the integrity of EE as a 'premium brand'.)

Just thinking how feasible it'd be to sign up for BT Broadband, then once the reward card and/or cashback had been claimed/paid out - but still well within the contract period - to migrate the broadband over from BT to EE? (I appreciate this would start a new 24 month EE contract from the time of migration.)

I see someone else had the same idea and posted a question about it on the EE Community forums - which (unsurprisingly) elicited a non-answer from an EE bod, but nothing else:
community.ee.co.uk/t5/Broadband-Landline/Crazy-idea-Buy-BT-Broadband-and-then-migrate-to-EE-Broadband/td-p/1456693

Grab it while you can as EE will no longer be the “premium” brand that Marc’s pet project was positioning it as. He’s now gone and Alison who got his job is cutting it…

https://www.ispreview.co.uk/index.php/2025/03/strate...

In reply to a post by Pheasant:

Grab it while you can as EE will no longer be the “premium” brand that Marc’s pet project was positioning it as. He’s now gone and Alison who got his job is cutting it…

https://www.ispreview.co.uk/index.php/2025/03/strate...

My reading of that development is that maters aren't necessarily quite as clear cut as you suggest - rather I see it as a shift spurred on by an activist investor, but with the details still needing to be hashed out. We shall see what happens in time, but yes I can see the BT brand continuing to exist in some form for consumers.

Regardless, for the purposes of my query I'm not really fussed with which brand is the notional provider - except in one regard, which is that the Sport package on EE TV via EE broadband comes with HD as standard, whilst with EE TV via BT Broadband there is a £6 supplement for HD.

(I'm aware that even without paying the supplement, TNT Sport channels are available in HD via the Discovery+ app... but let's just assume that said channels are wanted in HD via the EE TV box.)