Is lifting/strength really important?

Im only asking because, i looked back at my season (cut off a full second in 1 year) and as I made lots of improvements throughout indoor (60m time) and then outdoor while lifting, I cut out lifting from mid-may till now and during the time period lifting was basically cut out, or just 2-3 sets of bench/cleans, my improvements kept going.

During april and half of may i did maintenance weights.

So im wondering… does working on strength a lot really have much benefits?

Yes. It has been proven that concentrating on strength then reducing volume but maintaining intensity can lead to increases in power and maintenance or a slight increase in strength. So what you will find is that during spells of relatively high volume of weights, power doesn’t increase but once the volume is decreased and fatigue is less of a drag on your body, the fitness gains are optimized. This is known as a residual training effect, super compensation or the delayed training effect. Verkhoshansky, Staron and Tidow and other researchers have proven this and top coaches are aware of this phenomenon.

So would this be a good way to go

Speed+weights - high volume of weights
speed + weights - equal volume
speed + weights - lower volume of weights
speed + weights - very low volume of weights
speed only - no weights or very very little