No.
Both first & last movers advantage applies to BTC.
By being first, BTC has time to establish itself as the dominant last player. This advantage is imperative to create the network effects needed by sound money.
Price increases → More people mine → Stronger network security → People hold BTC b/c safer store of value → Collective increase in trust of BTC → Constrainment & redistribution of supply → Price increases & volatility reduces → Repeat