Does it matter?

Both are the same price, both almost have the same features except for the following:

Windows:

1.5 GB Windows 2003 web space

ASP, PHP, Perl CGI and SSI scripting

Microsoft Access and more with ODBC - 1 DSN

Linux:

1.5 GB Red Hat Enterprise Linux web space

PHP5, Perl CGI and Python CGI scripting

SSH secure shell access

Direct Push mobile access for Exchange mailboxes

Should any of these make any real difference to me?

I'm not intending to do anything outstanding with any sites that I put online.

You need to make sure the Linux one has some kind of database supports. I suspect it got MySQL support.

If you know Linux, then it can be quite nice to have SSH access for remote administration.

If I knew there were MySQL support, then I would go for Linux.