I'm pretty sure procreation just refers to the process of reproduction, sexual and asexual inclusive.

My understanding of the pertinent terms in this specific context is as follows:

1) Multiplying: Asexual reproduction only.

2) Reproduction: Sexual and asexual reproduction.

3) Procreation: Sexual reproduction only.

I appreciate the way you understand the terminology. However, I'm not sure everyone else understands it the same way. Although, I do admit the terms can be confusing.

BTW: I don't see how 'multiplying' could refer to just asexual reproduction. People often use it in sentences like 'the deer population near here multiplied the last couple years'.

Well, I see how referring to reproduction in a herd of deer, as a collective, in everyday speech, by using the word "multiplying", but not on an individual level, which adds to my point.

As you can see, getting terminology right is challenging and not always straightforward.