Yes, naturally, financing a renovation will lower your equity, simply because the mortgage balance is higher, relative to paying cash for those same renovations. 

I think it depends where the passive investors are and the syndicator is in their life cycle of age and also investing.At some point as net worth grows really high the syndicator or investor might simply have less of an appetite for value add and move more toward (set it and forget it) investments.

This is a much different set of laws and generally more restrictive and much costlier than simply borrowing.

If it was in the details and you simply did not read your lease before signing, call it a lesson learned.

Generally, I wouldn't care as I would think there would be minimal damage as it relates to this install and would never had questioned if they simply installed the cameras without asking to begin with.

I've considered simply buying properties with that cash and avoiding financing all together, but I'm afraid that will lead to a significant portion of my cash "sitting on the sidelines" more often than it's being put to use.  

So you could simply set up an S-Corp and transfer the LLC to that. 

When you go to sell, if the item is still showing on title, you'll simply provide your owners policy to the title company / title insurer involved in the sale... who will obtain an indemnity from your title insurer and/or from the insurer who insured over the item in the past.

Is it simply an issue of people not feeling comfortable with the liability limits provided by AirBnB?

However, if you fall into $1M-$1.2M loan amount (which I will) they can still deny based upon loan size or simply give you the underwrite from hell.