Magus MC, Spellstriker, and Conflux Recharging

From the 4th level Spellstriker feat of the Magus multiclass dedication:
"You gain the magus's Spellstrike activity. You can recharge it only as an activity that takes 1 minute. This restriction applies even if you gain another ability that recharges Spellstrike."

Does the restriction on recharging your spellstrike contravene both the normal recharge action and the conflux spell recharge?

Yes the own the last sentence of dedication already answer this: "This restriction applies even if you gain another ability that recharges Spellstrike", a conflux spell is exactly "another ability that recharges Spellstrike".

It does indeed apply to the original action and conflux spells as defined within the spellstriker feat. Your one and only way of recharging spellstrike is trough a one minute activity.

Which is a way to say you only Spellstrike once in the whole combat. Better make it count.

Cough.. Sure Strike ... cough.

As has been said otherwise, you can ONLY use spellstrike once a 1 minute with the multiclass archetype, no exceptions, substitutions, loopholes, hacks, or exploits.

...Honestly, the Magus archetype is pretty weak, all things considered (unless the remaster version improves it).