You can't really predict this. They will either stay the same (their ratio prices), go higher or go lower.
If BTC goes to $5000, then many might flock to alts to hedge against bitcoin going down. Basically what happened in January 2018.
Alts can also go down if too many people start to panic and leave crypto together. Basically BTC is much stronger than most alts so if BTC crashes then alts can crash a little more due to their smaller liquidity and the ratios can be even lower than today, its possible.
Or the ratios can stay the same with respect to bitcoin. Basically it could start a very slow bear market and the ratios will stay constant while the spot prices of alts against fiat will slowly head downwards.
Such a panicked market and a lot of people are panicking selling because the price of bitcoin goes down, that can actually make the price of altcoin go down but when things stabilize again, the price of altcoin will definitely be better. It is understandable that the dominance of bitcoin puts too much pressure on altcoins, altcoins cannot breathe or raise prices with this weight but when the weight drops, bitcoin is no longer a pump to suck altcoin's capital, altcoins will have a chance to rise sharply again, many situations in the past have followed this trend.