I keep missing prayers, then pray, then miss again for days. My salah is so inconsistent that I feel like a hypocrite. Is there any point in these broken attempts?

Set that word down. It is heavier than anything you have actually done. A man whose heart had gone cold would not be troubled by a missed prayer at all, and you are troubled. That much tells you where you stand. What you are describing is not hypocrisy; it is a believer who has not yet found his rhythm.

Inconsistency is common in days as crowded as ours, and a habit is something you unlearn slowly, not something you sentence yourself for. Every prayer you did offer stands, whole, and none of the broken attempts was wasted. Each one clears something away:

“And establish prayer at the two ends of the day and at the approach of the night. Indeed, good deeds do away with misdeeds.”

Qur’an, Hud 11:114 · meaning

So do not let the missed days shut you out of this moment. Allah’s mercy is wider than anything a servant can gather up against himself. Notice, too, who is being addressed here:

“Say: O My servants who have transgressed against themselves, do not despair of the mercy of Allah. Indeed, Allah forgives all sins.”

Qur’an, Az-Zumar 39:53 · meaning

The way back, is not one dramatic return that repairs everything at once. It is the next prayer, prayed. And what is asked of you is not the greatest effort but the steadiest one:

“The most beloved of deeds to Allah are the most constant, even if they are few.”

The Prophet (peace be upon him), Sahih al-Bukhari and Sahih Muslim (Bukhari 6464 / Muslim 782a) · meaning

So stop measuring the whole mountain and take the step in front of you. A little that continues will carry you further than any burst that burns out. Allah is not counting your stumbles; He is waiting for you to come back.

One small step: Choose the single prayer that is easiest for you to keep, Maghrib or Isha perhaps, and hold to that one alone, every day this week. Let its steadiness pull the others back into place.