SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    15744, 12632, 12633, 10179, 10180, 10523, 
    10073, 10077, 10076, 10086, 10085, 
    10084, 10083, 10082, 10081, 10080, 
    10079, 10584, 10594, 12574, 10168, 
    10167, 12703, 15968, 15938, 10053, 
    10041, 9904, 9905, 15966, 15965, 9940
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00465

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 64,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (15744,12632,12633,10179,10180,10523,10073,10077,10076,10086,10085,10084,10083,10082,10081,10080,10079,10584,10594,12574,10168,10167,12703,15968,15938,10053,10041,9904,9905,15966,15965,9940) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}

Result

product_id seo_name seo_path
9904 kingsman-spy-col-01 265/280/286/1666
9905 kingsman-games-col-01 265/280/286/1666
9940 podushka-dekorativnaya-esckimo-05-30h50 265/271/275
10041 kingsman-col-01 265/280/286/1666
10053 product-10053 265/271/275
10073 cos-col-04 265/280/283/1674
10076 cos-col-06 265/280/283/1674
10077 cos-col-05 265/280/283/1674
10079 cos-col-14 265/280/283/1674
10080 cos-col-13 265/280/283/1674
10081 cos-col-12 265/280/283/1674
10082 cos-col-11 265/280/283/1674
10083 cos-col-10 265/280/283/1674
10084 cos-col-09 265/280/283/1674
10085 cos-col-08 265/280/283/1674
10086 cos-col-07 265/280/283/1674
10167 kingsman-spy-col-06 265/280/286/1666
10168 kingsman-games-col-06 265/280/286/1666
10179 cos-col-01 265/280/283/1674
10180 cos-col-02 265/280/283/1674
10523 cos-col-03 265/280/283/1674
10584 cos-col-15 265/280/283/1674
10594 cos-col-16 265/280/283/1674
12574 belgiyskiy-kover-florense-200x300 265/266/277
12632 belgiyskiy-kover-slab-200x300 265/266/277
12633 belgiyskiy-kover-air-200x300 265/266/277
12703 kingsman-col-06 265/280/286/1666
15744 baxter-col-01 265/280/370/1673
15938 komplekt-podushek-30 265/266/267
15965 komplekt-podushek-28 265/271/272
15966 komplekt-podushek-26 265/271/272
15968 komplekt-podushek-31 265/271/272