Is there a right way to tie a tie?

In standard (not TAB) notation there are rules regarding the placement of ties and when they are necessary..
When it comes to TAB notation, it depends on how much information you wish to impart, what flavor of TAB you are using, and if you have "customized" any TAB staff properties.

Consider this:

It would likely be played thus:

The above image shows two voices and a quarter note tied from beat one to beat 2. A competent guitarist would sustain notes anyway (so as not to sound 'choppy') - without the 'pedantic' use of voices (in TAB).

This image:

is played the same as the one above, but here the quarter note is replaced by tied eighth notes - which is unnecessary.
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Of the 2 ways you wrote the measure, this one:

is simpler to read, but (without clearly defined voices) it does look like you have an eighth note played for one full beat (and then tied to the first half of the next beat).
But hey, it's TAB so no big deal... ;-)

Stringed instruments like guitar are not sustaining instruments, (like an organ for instance, where voices are meticulously observed). Because of the diversity of TAB out there, it is often up to the guitarist's interpretation when performing (so open strings are allowed to vibrate, fingering positions are held until the last possible second).

A interesting example is 5 string (bluegrass) banjo TAB. Often the player is presented with measure after measure after measure of nothing but 16th notes. Somewhere within that "machine gun firing" of notes there exists a melody - an actual hummable tune - hidden within all the forward and reverse rolls, double thumbing, etc. The human ear can (miraculously) distinguish that melody amongst the cacophony and it is the performer's job to facilitate that understanding. Yet to look at the TAB (or even the standard notation), that melody is undetectable.

I'm not primarily a guitar player although I can play guitar and read tab. I think the first example is easier to read.

The first example doesn't make sense - is that written in one voice or two? It seems like it must be two, because the G that is tied would seem to be a quarter note, and yet it has no stem of its own.

The second seems more obviously just one voice - those G's are more clearly all eighths. And yet, it looks completely wrong.

So really, neither of these are correct notation. That first G lasts a beat and a half (assuming this is 3/4). So it should be written as a dotted quarter in voice 2, no ties at all, if you are trying to convey the exact rhythm you are showing. That requires two voices. And then the G and F on the third beat are pretty clearly eighth notes, also in voice 2. You really have two distinct voices here, one having fourth eighths following by four sixteenths, and the other going dotted quarter, eighth, two eighths. So two completely independent voices that could be notated clearly as such

But on top of that, I'd suggest there is no practical reason why you need to notate it that way at all. There is no practical different where you just play that initial G as an eighth or a dotted quarter. Either way, the string vibrates and decays at its own rate. So you could notate it all in one voice with no ties, making that first G an eighth note like the high G that accompanies it. But, MuseScore's playback will act as though there is a difference between an eighth note G and dotted quarter G, so that also could be a reason to show the independent voices.

If it were standardard notation, I would absolutely say you should use the multiple voice. Given it is tab, you could safely treat it as a single voice. But, no ties would be needed. If you insist on adding the tied note for the sake of playback, make them invisible to avoid cluttering and confusing the score.