Yes
Arial, Times New Roman and Courier are sufficient for 80%+ of pages on the Web - of course it would upset some of the "designers" but it would make a lot of the pages more readable.
Some of the web pages that "designers" have produced are about as readable as a legal contract displayed in Wingdings font.
Please only use non-standard fonts where really required. (If a page has more than three non-standard fonts then it is normally time to sack the page designer.)