I don't care whether it's serif or sans-serif. I would like it to be BIGGER. :) Here's what I see:

In the comment to that question, I added:
I'd settle for any CSS font stack that yielded a larger point size for Hebrew; Ezra SIL is the "largest"; the Taamey Culmus fonts are roughly the same x-height as SBL Hebrew. I guess the problem is targetting the unicode range, otherwise SE would need to allow language ... type tags, and I doubt they would like that. Is there a Meta discussion about this?
There is at least this Meta discussion. I note, also, that the Taamey fonts are open-source friendly (not that this is necessarily an issue in this use case), using the same "engine" as SBL Hebrew, but without any license restrictions.
I found these SO Q&As on CSS, font size, and Unicode: (SEE UPDATE 2, BELOW)
I get the sense from reading around Meta.SO that this isn't the sort of thing that SE is very interested in (I would like to be wrong about that!). It should be technically possible to up the point size on the Arial Hebrew we get as default -- or is it? And can we? (...get bigger Hebrew as default, that is.)
(There might be a reason for this, I think related to the tradition that Hebrew in older printed books was roughly the x-height of the context font. Checking on that, though.)
Update 1
I just noticed on the Wikipedia "Psalms" article that it used SBL Hebrew at a nicely legible size at the top of the page, although further down it reverted to plain old Arial Hebrew. A little poking, and it transpires that they (now?) have this wiki markup available:
{{hebrew|תְּהִלִּים}} or {{hebrew|תהילים}};
which is rendered into this HMTL:
<span class="script-hebrew" style="font-size:125%; font-family: Alef, 'SBL Hebrew', David" dir="rtl">תְּהִלִּים</span> or <span class="script-hebrew" style="font-size:125%; font-family: Alef, 'SBL Hebrew', David" dir="rtl">תהילים</span>;
I checked it out with some of the on-page Hebrew, and here's the comparison:

Compare mizmor מזמור - the middle Hebrew word. The "span" version is so much more legible -- and the payoff would be even greater if vowels and accents (niqqudot and te'amim) were involved.
Given that SO/SE uses the [tag:yourtagname]
syntax "to indicate (and link to) an existing tag of your choosing", how great would it be to have [hebrew:מזמור]
to render an inline span like Wikipedia's? I think it would be VERY great. :)
Update 2
It seems it is possible to target Unicode ranges with CSS using @font-face
, only at the moment it remains browser specific: webkit browsers support it (Chrome, Safari), and so does latest IE, but Firefox (!) does not support it.
See Drew McLellan's article for "24 Ways 2011", "Creating Custom Font Stacks with Unicode-Range".
I have set up a demo at JSFiddle, so have a look (in different browsers!) and play around. It works quite well, so long as you're not using Firefox ... but surely it must catch up soon? ¶ 20160919 : Although I'm not sure when it did, FF now recognizes unicode-range-based CSS. A good idea whose time has come?? :)