No, it's a very normal request. Invoice to the company, with the stayer's name as the guest. At least in Germany, companies can get back the VAT when the invoice is in their name. Of course this does not apply to overseas stays, but I could imagine that the tax office wants to see invoices in the company's name if the company wants to declare the cost for tax purposes.
HTB.
That's right, htb, it's exactly what our Accountant told me, I guess it must be the same all over Europe. I'll try to make them undestand by giving them my business card and highlighting the company name. Thanks for the tip!