All of these reasons lead to my question:
When fees are low, yes and when fees are high - no.
I believe Bitcoin will always be digital peer to peer digital cash whether the fee is high or low. It is the structure of Bitcoin and is yet to be modified ever since. There maybe some institutions that integrate Bitcoin into their system and make it centralized like centralized exchanges and other centralized applications but the very core of Bitcoin is still peer to peer digital currency.
If Bitcoin is not peer-to-peer digital cash then what?
Sadly this question is invalid,IMHO, because as far as I know Bitcoin will always be a peer-to-peer digital cash whether it is integrated into a centralized system or works as decentralized network due to the meaning of peer-to-peer being:
peer-to-peer
adjectiveCOMPUTING
denoting or relating to computer networks in which each computer can act as a server for the others, allowing shared access to files and peripherals without the need for a central server.