Bitcoin can easily reach such figures, but no one can guarantee you what Litecoin will be doing. IMHO, Litecoin doesn't rock any features that other altcoins don't, which isn't a good position to be in.
If we also look at where Litecoin bottomed at after the massive crash in 2018, then it's 50% below its 2013 high. How can that possibly be a good thing? It's just another pump and dump coin you have to get in and out fast.
That's certainly true, mate. Compared to other altcoins, Litecoin would be more of the same. In its early days, Litecoin had the best technology around (scrypt PoW, and faster block times). Now that there are numerous altcoins with superior features than Litecoin, there's no reason for people to invest in it. Still though, what only saves Litecoin is its limited supply. With only 84 million coins that will ever be mined, Litecoin could position itself next to Bitcoin in the upcoming years. But for that to happen, there needs to be demand for it across the crypto market. A cryptocurrency can be scarce in supply, but if there's no demand, prices will remain low.
I see Litecoin as the perfect complement for Bitcoin since it tests out new features before its implemented on the main Bitcoin blockchain. For instance, Litecoin was one of the first (if not the first) cryptocurrencies to adopt SegWit before Bitcoin did. Once it was proven that SegWit was widely successful in Litecoin, developers had the "green light" to adopt it within Bitcoin itself. Now, Litecoin is planning to adopt Mimblewimble for transaction privacy. If successful, then you could expect Bitcoin to adopt this privacy solution (or another one) into its main blockchain network. Considering that Litecoin's blockchain has been battle-tested over time, it's one of the most secure Blockchains available today. As far as I know, there hasn't been a single 51% attack on the LTC blockchain, while some other altcoins have experienced it.
With due time, Litecoin might be able to get past $100 per coin. But the LTC team needs to do its best to promote it in every way to help increase adoption within the mainstream world. Right after LTC gets past $100, it'll only be a matter of time before it gets past $500. The ultimate goal would be $1,000 per coin, but that would require Bitcoin to be worth at least $100k - $500k per coin. If you take a good look at Litecoin's total supply, and current pricing, you'll notice that it's quite a bargain these days. Impressively, it has managed to remain among the top 10 coins in market cap after all these years. Whenever it'll experience a boost in price or not, it's yet to be seen since cryptocurrencies are widely unpredictable. Hopefully, early adopters of LTC would become extremely wealthy in the future. Just my opinion