Hi there, I'm Matt Sergej and can create HTML5 SVG (and javascript) animation for you (24 years a webmaster, 5+ years scripting SVG animations/visualizations).
The animation can be the same as your provided video. There are no "impossible" animations for SVG though the text effects and fade-in rising parts are somehow harder to create - and call for javascript and GreenSock animation library to use. Otherwise "staggering" leafs to fade-in, grow and move at the same time could take weeks to tweak correctly.
So this proposal includes your logo animation with the same timings, transformations and fade-ins and fade-outs if you provide:
1. All text captions either as vector shapes or text and font with which they were made off (I need WOFF and WOFF2 font file formats that I can convert from your provided OTF or TTF fonts).
2. All other shapes, including last "coat of arms" with leaves as distinct shapes so it will be possible to "stage" them. This is the hardest part, involving rising size of the leaves and animating them as mentioned.
For the WARRIORS text animation at the end I might use GreenSock SplitText plugin as well (free for you, paid for developers). I'll send you slightly different animation for it and/or will script exactly the same as in the video.
As explained I might need a week for this, considering the budget it's a bargain - because I like SVG animation challenges and it's summer anyway.
Animation references on request.
Looking forward to your reply,
Matt