It is possible to get combined VDSL2 modem/routers like your Netgear but the standards don't seem to be fully defined, so the three or four that have been tried by people on these forums all have issues of various levels of importance. The current flavour seems to be a Fritz box, so search these forums for "Fritz".
If you do have any line problems Openreach would expect their supplied modem to be in use. They do not support anything else being the modem component.
Are you aware that Infinity is just BT Retail's name for the FTTC product they sell, which is based on the BT Wholesale product, based on Openreach (GEA) FTTC.
Many other ISPs sell their own products based on the BT Wholesale one, just like they do on ADSLx, and of the LLU suppliers TalkTalk sell their own product avoiding the BT Wholesale one but still using the Openreach GEA. The Infinity Home Hub is only with BT Retail FTTC of course. WIth other ISPs you have to buy a cable router off the ISP or provide your own.
In all cases the Openreach modem is the standard kit.
For more info read
my FTTx page, and the suppliers page below it. That has a link to a spreadsheet by orly and yarwell with a summary of details of the products available.
My broadband basic info/help site - www.robertos.me.uk
My domains,website and mail hosting - Tsohost.
Internet connection - IDNet Home Starter Fibre.
Live BQM.
"Where talent is a dwarf, self-esteem is a giant." - Jean-Antoine Petit-Senn.