No it won't.
Tie on 2 ounces.
2oz hanging off the end of your rod with clutch engaged... not going to hurt it.
Put thumb on spool, disengage thumb bar. Now your thumb is holding the "strain".
Cast. Spool spins on bearings. No strain.
Bait lands, you thumb spool. No Strain
Retrieve (swimbait resistance), no more stress than a big spinnerbait or crankbait.
You watch guys boat flip 7lbers hanging off the end of a rod, that's more stress on a reel than a 2oz bait being cast.
To make a larger point, tie on a 1oz tungsten weight, hook and creature (approximately 1.5 oz total). Flip it out and drag through a ton of weeds OR set the hook on a stump. More strain there but thousands upon thousands of guys doing that with 100s with no real problems (REEL problems, Fozzy Bear Face). Or drag a 1oz carolina rig (again about 1.5oz total) through boulders and set the hook on a big ol rock, more stress there...
So long as you're not trying to bomb a 1-2oz bait with 50ft of line on the spool and it jerks to a stop or you accidentally re-engage the reel mid cast (we've all accidentally done that) you aren't going to hurt it anymore than any other bait. But those senerios could very well hurt any freshwater reel.
Am I advocating a Black Max as a dedicated swimbait reel? Lol noooooo. But to get you by until you decide if big baits are for you, then a "regular" reel is fine.
When you get above an ounce the "sketchy" feel of the bait in the casting process has way more to do with the rod.