Search Results: ex as a friend

Hi!

Got "rejected" from my crush after the second date.
She did the classic: I don't know what I want, need to find myself.
But she still wants to remain and hangout as friends.
More or less "Be a nice guy and sit on the back-burner".

She broke up (9yrs rel) with her Ex half a year ago, I guess this also has some toll in her decision.
Oh, just a side-note, it appears they've not moved on from each other coz they're still friends on social-media and liking/hearting each others posts aaand hanging out...

So I did the exit with "I'm not interested in friendship, but if you change your mind and I'm still available, don't hesitate to reconnect".

Now to the topic and question.
Should we remain friends on social media (FB)?
I mean, so I do not completely vanish from the earth.
Maybe someday when she actually are ready and I pop-up as online.. "oh that guy? I do remember him.." (yes, I still have hope in the moment, she did testing the waters for some reason...)

OR

Is this a bad idea, coz then my availability to her won't vanish from earth "enough". Therefor she will have better chance to forget about me, and then maaayybe from a universal coincident gets reminded of me and wants to rekindle?

We live in different cities (1h apart), so chances we bump in each other on daily basis are slim to none, and we haven't DM since two weeks ago, when she did the speech.

Hi!

I've[35M] been dating a girl[29F] for a short while 2month, and we only came to second date.
No kissing tho, didn't want to push her on these buttons coz she told me want to take things slow. But yet she said she felt like friends after first date. I guess it's coz her breakup still is fresh.

Now she tells me the classic excuse "I don't know what I want, I need to find myself" etc.
She broke up with her Ex 6months ago, from a 9yrs relationship, so I suspect they're now might trying to rekindle things, since accourding to her they're still "friends". They also reacts (he likes hers, she hearts his) to eachothers posts... "as friends"... Which to me it sounds more as "friends".. But yet again, just an post-reaction on FB...

Now when I was looking around abit (yes, stalking), I found out that the day after our first date, she had a photo with her ex and his mother.. which also... I don't know... weird?

After she made her excuse, I more or less told her to reconnect when she's ready and made a blanter joke refering to our dates.
She laughed, in other words, I left with a good expression and she knows my intentions.
This was 1 week ago.

Summerize.
Again, I suspect she was testing the waters..
How big of a chance do you guys think she will reconnect?
Have you guys tested the waters (I guess without even tell the current relationship) before and end up singles anyway within a year?