AH, so this is a good question.
I think that evidence of training and ongoing development is good. In many industries, people pay for their own training courses - CFA, AWS, MBAs - and do them on their own time.
The training is to help you do better at the job, or to outright switch career. Internal company training is rarely as useful, it's generally more around the processes that the company wants to occur.
You've asked a mite too specific a question - you're asking about the solid works thing. The obvious answer to the more general question (ie about training) is, of course, "a lot". Companies obviously care how well trained you are - try breaking into a corporate job without a degree, for example. Or even an unfinished degree - it will be harder than if you have the degree.
Given that companies care about training, you also have to realise companies care about the type of training. You might have a degree in Astrophysics, but you won't easily get a job in marketing, for example.
So to your particular question - it will depend on if the company in question uses or needs the solidworks program.
I would recommend you get a list of target companies and just ask them, and see what they say.