Using adapters in order to use a stove for gas it is not intended for can be dangerous and you should use caution. 

One issue is the adapter fit.  Extra joints are extra places that can leak.  It is a good idea to use soapy water to make sure the adapter is not leaking and ensure that you can reliably tighten it to prevent leaking using only reasonable hand pressure.

Probably using butane/isobutane on a propane stove is ok since butane/isobutane canisters are at a lower pressure.  A possible issue is that the stove may not burn properly or may not stay lit resulting in a gas leak.  I think it is unlikely but something to watch for.  In any case it is not advisable to do this indoors.

Of more concern is using pure propane on a stove intended for butane/isobutane.  This may require you to keep the stove valve well under the maximum to avoid a flare up particularly in hot weather.   Non regulated stove valves limit their maximum output by the jet size so if you use a higher pressure canister then it may push out more gas than the stove is designed for.  You will need to judge and keep the valve in a "safe" range.   Regulated stoves should handle this better in theory but it is still wise to use caution since the regulator will be optimized to a design pressure range and it is possible that it can be overwhelmed or get stuck if that is exceeded.