No having active flexibility will not slow you down. It strengthens relevant muscles in the lower body (all of them).
Active flexibility is like weight lifting. Your dynamic stretch is plyometrics. They're complimentary and you will get more results together than individually.
https://www.frontiersin.org/articles/10.3389/fphys.2019.01026/full
Here is a study showing that 5 meter times and torque improved significantly in the combined weight lifting-plyometric group versus the plyometric group which did not improve significantly there.
To be clear, active stretching requires strength to resist the stretch. Hence the strength loss that follows long intense stretching. This is also strength building. Passive stretching does not create the same training effect.
Look into Kneesovertoesguy if you want to be athletic. You need strength in as large a range of motion as possible. If anything you want both active and dynamic stretches since one is strength and the other is athleticism, to put it simply.
Here is the beginner routine in short:
Walk backwards
Shin lift
Split squat (lunge)
and
Deep push ups
Dumbbell rows with hold at top
In-depth: Knees Over Toes Guy's Beginner Workout
How to Restore Athletic & Resilient Shoulders
Programming involves 12 weeks of slowly developing strength and flexibility generally, so go ahead and spend 12 weeks on these three. You can do them daily and go by feel. No pain. 3 sets with 5 - 15 reps is good. Focus on the muscles and getting a stretch, improve your form. Take a video or get a mirror.
After reaching the standards in that video go ahead and add these to your routine:
Calf raises w/ flexion of tibialis anterior
Incline hamstring stretch/Jefferson curl
Bodyweight leg extensions (knee against wall stretch)
Piriformus good mornings (Pigeon stretch)
Loaded butterflies (Lying leg extended wall stretch)
Wide leg loaded groin stretch (standing wide groin stretch)
ATG Split Squat with weight
Incline hip/oblique weighted raises
This is the video describing the exercises and strength standards to reach:
Knees Over Toes Guy's Mobility Checklist
After reaching 25% BW on the relevant exercises and mobility and repetition goals with no pain besides whatever soreness from other workouts, go ahead and add the next exercises to your routine.
Add Nordic Curls and Foot Lifts.
10 Reasons to Lift Weights With Your Feet
Nordic Hamstring Curl Tutorial From The Standards Program
Make sure to watch all the videos. After reaching the standards described in the videos, increase repetitions and slow down the movement to as slow as possible -- go for 1 minute ultra slow reps each exercise before doing your sport. Don't worry about progressing with these though, just stay consistent and make slight progress simple and easy.