Are the actual products different between the two versions?

Last verified against genymotion.com:

No. The products are the same Genymotion offerings, but the versions differ by plan, supported Android images, and included features. For example, Genymotion Desktop plans vary by support and features, while available Android versions differ between Desktop and SaaS.

Genymotion Desktop has Free, Educational, Individual, Business, and Premium plans. Genymotion SaaS and PaaS are separate cloud delivery options with their own image availability and pricing.