Here's a Python 3 version of the code in my other answer. It's almost identical except for the imports which had to be changed in order to use the pillow fork of the PIL (because only it  supports Python 3). The other changes I made were changing print statements into function calls and where the map() function is used to create the luts look-up table variable.
from PIL import Image
from PIL.ImageColor import getcolor, getrgb
from PIL.ImageOps import grayscale
def image_tint(src, tint='#ffffff'):
    if Image.isStringType(src):  # file path?
        src = Image.open(src)
    if src.mode not in ['RGB', 'RGBA']:
        raise TypeError('Unsupported source image mode: {}'.format(src.mode))
    src.load()
    tr, tg, tb = getrgb(tint)
    tl = getcolor(tint, "L")  # tint color's overall luminosity
    if not tl: tl = 1  # avoid division by zero
    tl = float(tl)  # compute luminosity preserving tint factors
    sr, sg, sb = map(lambda tv: tv/tl, (tr, tg, tb))  # per component
                                                      # adjustments
    # create look-up tables to map luminosity to adjusted tint
    # (using floating-point math only to compute table)
    luts = (tuple(map(lambda lr: int(lr*sr + 0.5), range(256))) +
            tuple(map(lambda lg: int(lg*sg + 0.5), range(256))) +
            tuple(map(lambda lb: int(lb*sb + 0.5), range(256))))
    l = grayscale(src)  # 8-bit luminosity version of whole image
    if Image.getmodebands(src.mode) < 4:
        merge_args = (src.mode, (l, l, l))  # for RGB verion of grayscale
    else:  # include copy of src image's alpha layer
        a = Image.new("L", src.size)
        a.putdata(src.getdata(3))
        merge_args = (src.mode, (l, l, l, a))  # for RGBA verion of grayscale
        luts += tuple(range(256))  # for 1:1 mapping of copied alpha values
    return Image.merge(*merge_args).point(luts)
if __name__ == '__main__':
    import os
    import sys
    input_image_path = 'Dn3CeZB.png'
    print('tinting "{}"'.format(input_image_path))
    root, ext = os.path.splitext(input_image_path)
    suffix = '_result_py{}'.format(sys.version_info[0])
    result_image_path = root+suffix+ext
    print('creating "{}"'.format(result_image_path))
    result = image_tint(input_image_path, '#383D2D')
    if os.path.exists(result_image_path):  # delete any previous result file
        os.remove(result_image_path)
    result.save(result_image_path)  # file name's extension determines format
    print('done')
Here's before and after images. The test image and tint color are the same as what you said you were using when you encountered the problem. The results look very similar to the Py2 version, to yours, and OK to me...am I missing something?
