So "I'm going to shoot gays because if I do there will be fewer gays in the world" is not trying to achieve an objective?
You are just making that up, right? I didn't see any press release to this effect.
He's some random guy who decided "I'm going to kill me some queers" and went off and did it. Then he shot his girlfriend in the head. Then shot at some cops. I can't identify any clear objective beyond commiting the violence itself.
If you can't see the difference between what he did, and what a group does that organizes sleeper cells, trains for years, plans attacks, issues press releases of demands (their objectives), including threats that the violence will continue or escalate if they are not met, then us posting the same thing 3 more times isn't going to change anything. It seems clear to me that 'objectives' in the statute is referring to the latter, to you it isn't clear. I'm probably not going to respond further about this specific point.
ETA: that first sentence is probably rude. I apologize.
My point is that the statute is very short, thus tersely worded. And that no, based on the evidence so far, this guy did not have an organized plan to thin out the population of gays, or of inflicting systematic terror in gays and their families if his wishes are not carried out.
I think you are speculating on what the guy's motives are. If you know, and they are as you stated, and it was part of a plan that he was going to carry on to achieve some goal, then yes, it was terrorism.