Am I being too sensitive??

Am I being a bit sensitive?

I've been asked by my client who run a recycling company to remove my email signature from my emails, or at least reduce the amount of space it takes up.

I send invoices and emails on behalf of my client but under my business name and apparently there have been a couple of complaints/comments that when they print them it runs to too many pages.  Now my email signature has my company details, contact details, a couple of logos and the normal 'if it's not intended for you' script.  Doesn't take up that much room. 

I feel a bit aggrieved that I'm suddenly responsible for other people's printing habits.  I rarely print emails unless there's something I need to have on file or need to cross reference and if I need to I either restrict the printing to one page or cut and paste the relevant bits I want to a blank document.- so why can't others do the same?

So, should I remove my email signature or should I stand my ground and say this is my branding, my identity and it's tough s**t??

Appreciate any comments!

Frustrated !!