As ever, it depends on who your adversary is likely to be:
1) State actor e.g. police or shady govt dept: you are being tracked in 100 different ways already, no point in trying to hide your punting activity, they will find you whatever you do !!
2) Serious organised criminals (a possibility when punting): your account details including your credit card and home address (and your personal details from a number plate) are readily available for cash from suborned individuals in every major mobile firm & DVLA, so good to buy punting phone for cash and top up for cash and take the bus to the punt !
3) Vindictive prossie: generally too stupid to cross the road unaided, but don't lend her a hand by casually sharing personal IRL details
My assumption is that 99% of the time I am dealing with (3) but I assume I might need to be prepared for (2) thus I keep my various online IDs separate, pay cash for my punting phone, top up with cash and don't drive to punts...