Industry and academia collaboration
Not necessarily. Sometimes researchers take on new projects without additional funds, simply out of intellectual joy (or the prospect of another publication may already be enough of a benefit to them). But if funding is needed, then perhaps your advisor could likewise offer him- or herself to apply for a grant. The allocation of tasks (including the application for funding) is variable, and you need to coordinate it with your advisor first.

No, I do not see anything that speaks against such a collaboration. On the contrary, as another post says: 'Prominent world university rankings give bonus points to &quot;university-industry collaborations&quot;, which is generally deemed to be highly valuable for fostering innovation (e.g. see this document from the Times Higher Education, some further evidence here, or this OECD report).'