Do All Pokemon Have Obedience Limits in Pokemon FireRed?

No. Not all Pokemon have obedience limits in Pokemon FireRed.

Obedience level limits only apply to Pokemon received through trades.

Pokemon you catch yourself or receive from in-game events will always obey you.

The same rules apply in Pokemon LeafGreen.

Why This May Cause Confusion#

After earning certain Gym Badges, the game displays messages such as:

“Pokemon up to Lv. 30 will obey.” “Pokemon up to Lv. 50 will obey.”

These messages do not clearly specify that the limit only applies to traded Pokemon. This confusion is part of several confusing mechanics in Pokemon FireRed.

This can create the impression that:

Any Pokemon above the listed level may stop obeying.
Overleveling your team could cause problems.
You might lose control after passing a badge threshold.

What Actually Happens#

In Pokemon FireRed:

Traded Pokemon are affected by obedience limits based on your badges.
If a traded Pokemon exceeds the current badge limit, it may ignore commands.

However:

Pokemon you catch yourself are not affected.
Gift Pokemon received from NPCs are not affected.
Fossil Pokemon revived in your game are not affected.

They will continue to obey regardless of level.

Other systems in the game can also behave differently from what players expect, such as how the Cleanse Tag affects wild encounters.

In Short#

Not all Pokemon have obedience limits in Pokemon FireRed.

Only traded Pokemon are restricted by badge-based level caps.

Pokemon you catch or receive in your own save file will always obey you.