Both types must be inserted and removed. There are 3 types of expander buttons. The normal one with a rim, a tapered type and a football shaped one. The advantage of the Sinclair mandrel is that it provides 100% contact of neck and mandrel whereas the other 3 aren't even close to that. The extra step if needed is probably well worth it.
Here are a few different expanders I found when looking through my die sets which are mostly Redding and a couple RCBS.
From Left to right. Typical ball style expander. Football or egg shaped expander which is free to float and hopefully stay centered as needed. 3rd is ball type with a long contact surface and last a tapered type. Also pictured is a Sinclair mandrel. The advantage of the Sinclair is that it is always in contact with the neck whereas the other 4 are pushed completely through the case neck and then pulled up back through it