There are a few things to keep in mind, some of them you've already argued yourself. One, Engage is a common word, so that's on you, and two, more importantly, in today's SEO/ASO/other algorithmic wars, if you truly are the leader in this space, people will copy as much of your name/branding as possible to steal your customers' attention.
You are absolutely not in a unique position in this regard, if you want evidence, look at this top 50 generative AI mobile apps ranking: https://isarta.com/news/wp-content/uploads/2024/05/image-6-1.... Count the amount of Chat + "something" names, and the amount of practically identical logos as ChatGPT in addition. That's the game these days, if you are successful, you will be copied relentlessly.
And the copycats might not even be copycats in the sense you're thinking. Automated customer engagement, LinkedIn or otherwise, is probably among the top 3 ideas that came to mind to anyone working in the sales/CRM space as soon as LLMs became convincingly human in conversation. So it's just thousands of people realizing the same opportunity at roughly the same time, going out to build it, maybe checking if there's a significant player in the space already, learning from their mistakes, copying the parts that made sense, and firing on all cylinders to become the leader in the space.
Yes, someone with more money might even beat you to the #1 spot, and the people who you think are your competitors right now might not even be relevant in a year, when various CRM companies build this functionality into their systems as a feature. In an even worse scenario, companies like Persana might be acquired with way worse numbers than you have, because of the network, the budget, the lower risk due to being ex-LinkedIn, etc.
None of this is particularly "fair" in the school playground sense of the word, but rarely anything is in business. If you have a true competitive advantage in terms of product, you have better odds than most, but maybe someone is going to beat you on distribution, pricing, marketing, targeting, to the point that product will barely matter.
It's on you to figure out what you want to focus on, and what outcome you will be happy with. If you have the metrics, you can probably fundraise easily. You might not want to, because you want to bootstrap, but then stop wasting energy on thinking about competitors who are doing it differently. Whatever choices you make, make them, and focus on your own path.
There's probably a lot more interesting info hiding behind that statement. If housing is massively unaffordable (as it in the UK), social mobility is rather low, why go out there and destroy yourself in low wage jobs?
Not saying there's no spoiled youth waiting for their lottery ticket that will never come, but there's a rational aspect to it as well.