said by InvalidError:
With PPPoE, you practically always get a new IP every time you lose the PPPoE session for whatever reason.
This isn't really an artifact of PPPoE, but more the particular configuration Bell uses. Part of the PPP negotiation typically includes the client requesting their previous IP on reconnect (if the router retains it). Typically, if that IP isn't used, AND the PPPoE server is configured to allow assignment of requested addresses AND the address is free, it will get assigned.
In the case of wholesale (GAS) since the BAS will fire the session off to different ISP LNSs to distribute load, the chances of hitting the same LNS that you were previously connected to (with the same IP pool) are lower, so typically you get a new IP from the pool of the LNS you happen to hit. You might get your IP back if your ISP allows their LNS to listen to your PPP negotiation "hints" during the connection setup phase.--
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