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 (
    1864, 1865, 1951, 1793, 1794, 1795, 1796, 
    1950, 1448, 1471, 1449, 2245, 1151, 
    1152, 1153, 1154, 1615, 1595
  ) 
  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 0.00099

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "25.21"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 36,
      "rows_produced_per_join": 36,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (1864,1865,1951,1793,1794,1795,1796,1950,1448,1471,1449,2245,1151,1152,1153,1154,1615,1595)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "21.61",
        "eval_cost": "3.60",
        "prefix_cost": "25.21",
        "data_read_per_join": "61K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
1151 t-bumaga-belux-klassik-4-sht.-2-sl.-belaya-h12 315/325
1152 t-bumaga-belux-standart-4-sht.-2-sl.belaya-h12 315/325
1153 t-bumaga-evrostandart-56-48-rul-upak 315/325
1154 t-bumaga-evrostandart-4-sht.-2-sl-h12 315/325
1448 t-bumaga-belux-aroma-4-sht.-2-sl.romashka-h12 315/325
1449 t-bumaga-belux-aroma-4-sht.-2-sl.yagody-h12 315/325
1471 tualetnaya-bumaga-belux-aroma-4-sht.-2-sl.yabloko-h12 315/325
1595 tualetnaya-bumaga-dlya-dispansera-rossiya 315/325
1615 tualetnaya-bumaga-vlazhnaya-aura-nice-20-sht-6-48 315/325
1793 tualetnaya-bumaga-batist-8-sht.-3-sl.-apelsinovoe-derevo1-5 315/325
1794 tualetnaya-bumaga-batist-8-sht.-3-sl.-aromat-sireni-1-5 315/325
1795 tualetnaya-bumaga-batist-8-sht.-3-sl.-belaya-1-5 315/325
1796 tualetnaya-bumaga-batist-8-sht.-3-sl.-morskoy-briz-1-5 315/325
1864 t-bumaga-batist-4-sht.-3-sl.-apelsinovoe-derevo1-12 315/325
1865 t-bumaga-batist-4-sht.-3-sl.-aromat-sireni 315/325
1950 tualetnaya-bumaga-batist-nemeckoe-kachestvo-4-sht.-3-sl.-belaya 315/325
1951 t-bumaga-batist-4-sht.-3-sl.-morskoy-briz-1-12 315/325
2245 t-bumaga-belux-klassik-8-sht-2-sl-belaya-1-6 315/325