Are you using a Hey-supplied router, i.e. different router than you had with FTTC? Then it could be the router itself glitching, and/or a wifi problem if you're on wifi. The best way to rule that out would be to try a different router for a while.
Otherwise, can you tell if you're behind a CGN?
1. Periodically check what public IP address other sites on the Internet see you using, e.g. at
https://ip4.me/ - or if you want to log this automatically, then use
https://ip4.me/api/
If this changes at the same time as your perceived connection drops, then that would strongly point to an issue.
2. If you're able to log into the router, check what IP address it has been allocated on its 'WAN' port. If that's different to (1), you're behind a CGN. Also if it's 100.64.0.0 to 100.127.255.255, or any other private address like 10.x.x.x or 192.168.x.x or 172.16-31.x.x, then you're behind a CGN.
However, if your router's WAN address is the same as the IP address people on the Internet see you using, and it's not changing, then that's not the problem. This would then suggest an intermittent problem within Hey's network or with their transit routing/peering.