Yeap it happened to me as well on PS4 and in multiple missions.
I just wanted to add that in one mission when it (the Shedu) stuck, I switched to my secondary - a kuva one (multi forma-ed for the MR not sure which one brakk or twin stubbas perhaps not sure which one, certainly not kraken as I don't have it yet).
The thing I want to add is that when the Shedu stuck and was not shooting, my secondary had for quite some time infinite ammo and yes, without any need to reload. 🙂 But after a while when I realized what was happening and as I was trying to figure out if it was really a thing (shooting like madman, trying to reload a fully stuck weapon, switching weapons and all that stuff that make us happy), it unstuck by its own (don't know what caused it) and turned into its usual behavior with magazine and all ammo depleting as normal. Yet the Shedu continued to not firing and been stuck.
I'm pretty sure I was solo in a Kuva Lich mission - despite the fact that I had the public option on (still no-one joined that run). 100% with my Smeeta kavat, Inaros and pretty sure Shedu (with Catalyst on) had the "standard" damage and mutlishot mods on (I think I can still check the build if needed because after I maxed it - rank 30 - I never used it again). Kuva Brakk or Kuva Twin Stubbas as secondary and Paracesis as my melee.
Don't know if any of the above helps...