@david1982 welcome to the community and thanks for posting, with an FTTP connection line speed should not be an issue.
When you called was it the FTTP sales team you spoke to or normal customer services sales? I'd recommend you try 0800 587 4787 8am to 9pm Mon-Fri, 8am to 8pm Saturday, 9am to 6pm Sunday.
Post back and let us know how you get on.
Is your tv smart? By that I mean does it have the capability of installing apps? If it doesnt I suggest you pickup a cheap now tv dongle/box which includes a sport pass in it, obviously won't be 4k or even HD but with a decent BB speed I find on my 55" samsung its passable (the image judder on the ball is abit irritating) I saw one in b&m the other week for £15 with either entertainment channels (not available on BT Youview) or cinema (which is available via Youview) & SkySports which comes with both will tide you over with transfer gossip until the new season. I wouldnt put faith in Bt fixing it b4 Mon but hope am wrong. Me? I've got a ticket, so I'll be there in person 🙂