IANAL, but this depends on the jurisdiction. In some places (e.g. Ontario, Canada), e-signatures are fine; often this is because the law explicitly says they have the same effect as a "wet" signature. In this case, "looking real" doesn't enter into it.

In others (e.g. Denmark), you don't even need to sign - merely stating your intent to accept a contract, and having a clear record of that intention, is enough. In this case, again, "looking real" is a non-issue; you can even send an email in some cases.

In yet others, you will definitely be asked for a "wet" signature, and a digital signature is not considered legally acceptable. Here looking real could matter; if your signature is obviously non-physical, it may be refused.

This also varies by situation. In some places, banks want to see a wet signature, _and_ will compare it with an existing wet signature they have on file. In this case, it very much matters how real it looks, where "real" means "matches this other real signature". (Does this make sense? Arguably no, but that's the way it currently is.)