A Jazzmaster can handle open chords — if you fix the nut and bridge.

Yes, but you’ll need to address the usual offset weak points first. Heavy strumming on a Jazzmaster with stock parts is asking for tuning trouble.

The main issue is the vibrato system. Floating bridges and the friction at the nut cause strings to bind and then go sharp or flat when you really dig in. Julia Jacklin’s open chords with that driving strumming put a ton of force through the trem. The stock plastic nut is garbage for this. Swap it for a TUSQ nut or have a tech file the slots correctly with some graphite or nut lube.

Next, the bridge. The stock rocking bridge can slide around. A Mastery or Staytrem bridge locks the saddles in place and gives you better break angle over the saddles. Also, a neck shim (just a business card under the heel) increases the break angle behind the bridge, which keeps strings from popping out of their slots.

Heavier strings help a lot. 11s or even 12s give you more tension so the trem can’t pull them out of tune as easily. Locking tuners aren’t mandatory but they do help with overall stability.

Spend the money on a pro setup from someone who actually works on offsets. You don’t need to trade in the guitar — just get it sorted.