Well i'm far from an expert but it looks like i'm a FTP job which means years of waiting.
I think you have the wrong end of the stick...
Being on an EO line does NOT mean that BT will deploy SFBB to you using FTTP, either in the near future or far future. It's way more complicated than that!
EO lines *may* be given SFBB using FTTP, but there is no guarantee, and the likelihood is pretty low anyway.
EO lines *may* alternatively be given SFBB using FTTC, in a procedure known as a "network re-arrangement" where a new PCP is added to the copper lines, and then an FTTC cabinet connected to it.
This latter method is, perversely, much more likely. However, it is also more costly than standard (though still cheaper than FTTP), and usually fails to meet the commercial viability tests - so most EO lines are being left out of the commercial rollout and relegated to the BDUK projects. And no matter whether the line ends up being done as part of the commercial or BDUK rollout, it is likely to be left towards the end.
This process is currently going on in Cornwall, but nowhere else yet
So you're probably right that it is going to be a few more years, even to find out.