Was I right to suggest meeting up? Do you think that we ever will?

So I reached out to an old school friend (I haven't seen her in a good few years, but I miss her - totally platonic, before you ask) about meeting up when we were both in our hometown for a few weeks. They got back initially saying they could check as they are quite busy, but I never heard anything since. I sent the following message to them yesterday, as I am going away in two days so it is too late to meet now: (I have deleted some personal info/names from the messages) "Hi friend's name, I just wanted to say the very best of luck in your new job. I know you’ll do amazingly. Maybe if we’re ever close by again it would be good to catch up sometime in the future, when you’re all settled in. I really miss speaking to you. I wish you the very best of luck, but know you won’t need it! P.S - Sorry for needing help for writing my last message. Just complete shyness with messages and about meeting after a long time, as always... (you know me!) (laughing face) Didn’t need any help writing this one." I am neurodiverse and really find it quite hard socialising, so I did need help reaching out to them (and they knew the tone of my initial message to them didn't sound like me). Anyway, they sent me this reply back yesterday.

"Hi (my name), gone back to the long messages again i see. I think everyone has colds these days, the reduced immune system after wearing masks for 2 years. I am still busy with organising the new home and admin that comes with such things, including de-registering from (country name). They love bureaucracy. This next bit might come across harsh but i hope it helps: In school I think we did not speak so much and since then I am glad I have been able to help through the occasional message but I don't want you to rely on me. I will be there when I can but I want you to jump in the deep end and find people who can be there for you in person for fun or support. I think the last time we spoke in person was during A- level (subject name). Do you have any friends you hang out with? I went to a (place name) with friends for new years eve in (city name). That is a great place to just have fun and meet people so finding similar would be good. Are you living in (city name), so many opportunities there. But i will still be around if/when you need. (thumbs up emoji)"

Tl;dr - Overall, do you think that this person still sees me as a friend (ie. I haven't annoyed them - I really don't want them to think I am relying unjust them)? Was I being unreasonable in suggesting we meet and catch up in-person? (if no, do they sound as if they be open to meeting up one day in the future?)

Addendum:

They later clarified. They said ‘it’s not that I’m backing off, I just do not have a lot of time so I want you to create a big network of people who can give you what you want and need’.

That also said ‘ I appreciate the effort you took to ask me, I am humbled by that. But it is very difficult to meet as I am never in one country for long enough at the moment.’

I guess they still have some friendly intent towards me?
I do like this friend a lot and we have been speaking occasionally on messenger since we left school, so I thought it would be nice to meet up.

I think I’m struggling to take into account the context. I got a bit upset at first when I read her reply as I thought she never wanted to see me again (black and white thinking), but in reality she is in the middle of moving house and starting a new job in a few weeks. She’s very busy right now. I keep forgetting/not understanding that, due to how I think.